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Finding the Third Proportional to 242,558.25 and 510,251.25

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Solution

The third proportional to 242,558.25 and 510,251.25 is: 1,073,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,558.25 : 510,251.25 = 510,251.25 : x
  2. Step 2: Convert to fraction form
    242,558.25/510,251.25 = 510,251.25/x
  3. Step 3: Cross multiply
    242,558.25x = 510,251.25 × 510,251.25
  4. Step 4: Simplify right side
    242,558.25x = 260,356,338,126.56
  5. Step 5: Solve for x
    x = 260,356,338,126.56/242,558.25
  6. Step 6: Final answer
    x = 1,073,376.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.